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Finding the Fourth Proportional to 2,707.76, 3,737.33 and 1,588.74

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Solution

The fourth proportional to 2,707.76, 3,737.33 and 1,588.74 is: 2,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.76 : 3,737.33 = 1,588.74 : x
  2. Step 2: Convert to fraction form
    2,707.76/3,737.33 = 1,588.74/x
  3. Step 3: Cross multiply
    2,707.76x = 3,737.33 × 1,588.74
  4. Step 4: Simplify right side
    2,707.76x = 5,937,645.66
  5. Step 5: Solve for x
    x = 5,937,645.66/2,707.76
  6. Step 6: Final answer
    x = 2,192.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.